Joachim Mahnkopf 《Compositio Mathematica》2000,124(3):253-304

Let be a cuspidal automorphic representation of GL₃(), unramified at pand of cohomological type at infinity. We construct p-adic L-functions, which interpolate the critical values of L(,s) and which satisfy a logarithmic growth condition. We obtain these functions as p-adic Mellin transforms of certain distributions on _p^*having values in some fixed number field and which are of moderate growth. In the p-ordinary case we obtain the bound |(U)|_p|_Haar(U)|_pfor open subsets U _p^*, where _Haardenotes the invariant distribution on _p^*.  相似文献   

    

Lutz Hille 《Mathematische Nachrichten》1998,191(1):189-195

Let G be a reductive algebraic group defined over an algebraically closed field of characteristic zero and let P be a parabolic subgroup of G. We consider the category of homogeneous vector bundles over the flag variety G/P. This category is equivalent to a category of representations of a certain infinite quiver with relations by a generalisation of a result in [BK]. We prove that both categories are Koszul precisely when the unipotent radical P_u of P is abelian.  相似文献   

    

Jan J. Sławianowski  Vasyl Kovalchuk  Agnieszka Martens  Barbara Gołubowska  Eliza E. Rożko 《Mathematical Methods in the Applied Sciences》2012,35(1):17-42

Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal, and Ville. We analyze the relationship between this formalism and geometry of the Galilei group, classical momentum mapping, theory of unitary projective representations of groups, and theory of groups algebras. Later on, we present some generalization to quantum mechanics on locally compact Abelian groups. It is based on Pontryagin duality. Indicated are certain physical aspects in quantum dynamics of crystal lattices, including the phenomenon of ‘Umklapp–Prozessen’. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

    

《Integral Transforms and Special Functions》2012,23(10):821-835

A generalized theorem related to harmonic sums is investigated from which we are able to represent an infinite number of sums of harmonic numbers in both multiple integral and closed forms. The new theorem generalizes known existing results in the published literature.  相似文献   

    

Alberto Cialdea  Emanuela Dolce  Angelica Malaspina 《Mathematical Methods in the Applied Sciences》2015,38(3):537-547

In this paper, we investigate the internal second, third, and fourth boundary value problems of the three‐dimensional Cosserat elasticity by means of potential theory. The obtained integral representations differ from the classical ones. These results complete the ones related to the first BVP, which have recently been obtained by the authors. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

    

Cline Lafage  Jrme Lang 《European Journal of Operational Research》2005,160(3):741-761

Distances between possible worlds play an important role in logic-based knowledge representation (especially in belief change, reasoning about action, belief merging and similarity-based reasoning). We show here how they can be used for representing in a compact and intuitive way the preference profile of an agent, following the principle that given a goal G, then the closer a world w to a model of G, the better w. We give an integrated logical framework for preference representation which handles weighted goals and distances to goals in a uniform way. Then we argue that the widely used Hamming distance (which merely counts the number of propositional symbols assigned a different value by two worlds) is generally too rudimentary and too syntax-sensitive to be suitable in real applications; therefore, we propose a new family of distances, based on Choquet integrals, in which the Hamming distance has a position very similar to that of the arithmetic mean in the class of Choquet integrals.  相似文献   

On Hom–Lie algebras     

Yunhe Sheng  Zhen Xiong 《Linear and Multilinear Algebra》2013,61(12):2379-2395

  相似文献   

    

Andreas Marinos 《International Journal of Mathematical Education in Science & Technology》2013,44(5):625-648

In this work, an attempt is made to evaluate the errors that have to do with the interpretation and construction of graphic representations. Although the students are studying in the second year of technical high school (secondary education), i.e. in schools with an emphasis in technical subjects (post junior secondary), it is observed that they find difficult to handle the graphic representations. This is an attempt to overcome the difficulties that exist by putting the students to work on electrical machines. They read, construct or verify the graphic representations of the electrical machines using electrical instruments with which they carry out measurements and take values. It is evaluated after the end of each activity and also after a suitable interval of time that there is an improvement in the students’ abilities (interpretation and construction) in graphic representations.  相似文献   

    

Robert M. Taylor 《International Journal of Mathematical Education in Science & Technology》2013,44(5):613-617

The associative, commutative and distributive laws are taught as axioms. Proceeding in a necessarily cautious fashion, this article shows that the commutative law (as representative) cannot be demonstrated over negative integers. Demonstration is only possible at the cost of assuming ‘negative x negative = positive’ as ‘true without proof before proceeding. It is noted that there is then no point in proving ’negative x negative = positive’ by the use of the associative, commutative and distributive laws after it has already been so assumed true without proof to establish those very laws. Nevertheless, the circle of proof can be broken, and a suitable demonstration of the commutative law is given. However, this first of all requires a new circular theory of number. Such a theory exists and this article is in support of its findings.  相似文献   

    

Tongsuo Wu 《代数通讯》2013,41(1):407-418

  相似文献